The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of square KLMN is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that QS is 234 m, KL is
58 of RT and QP is 161 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
5 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
KL = 5 u = 24 x 5 = 120 m
Area of the picnic area
= 120 x 120
= 14400 m
2 Cost of the picnic area
= 14400 x 20
= $288000
(b)
Perimeter of the fountain area
= 234 + 161 + 192
= 587 m
Cost of fencing the fountain area
= 587 x 12
= $7044
Answer(s): (a) $288000; (b) $7044